3 citations · 5 across the 3 of their papers we have counts for
11 papers
Jackson's q-exponential as the exponential of a series
C. Quesne
Jackson's q-exponential is expressed as the exponential of a series whose coefficients are obtained in closed form. Such a relation is used to derive some properties of the q-expon…
Non-Hermitian Hamiltonians with real and complex eigenvalues: An sl(2,C) approach
B. Bagchi, C. Quesne
Potential algebras are extended from Hermitian to non-Hermitian Hamiltonians and shown to provide an elegant method for studying the transition from real to complex eigenvalues for…
Infinite square well and periodic trajectories in classical mechanics
B. Bagchi, S. Mallik, C. Quesne
We examine the classical problem of an infinite square well by considering Hamilton's equations in one dimension and Hamilton-Jacobi equation for motion in two dimensions. We illus…
Spectrum generating algebra and coherent states of the -extended oscillator
C. Quesne
-extended oscillator algebras, generalizing the Calogero-Vasiliev algebra, where is the cyclic group of order , have recently proved very useful in the context of sup…
-extended oscillator algebras and some of their deformations and applications to quantum mechanics
C. Quesne, N. Vansteenkiste
-extended oscillator algebras generalizing the Calogero-Vasiliev algebra, where is the cyclic group of order , are studied both from mathematical and applied viewpoin…
suq(2)-Invariant Schrodinger Equation of the Three-Dimensional Harmonic Oscillator
M. Irac-Astaud, C. Quesne
We propose a q-deformation of the su(2)-invariant Schrodinger equation of a spinless particle in a central potential, which allows us not only to determine a deformed spectrum and…